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Finding the Fourth Proportional to 576,258.10, 863,687.31 and 407,827.66

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Solution

The fourth proportional to 576,258.10, 863,687.31 and 407,827.66 is: 611,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,258.10 : 863,687.31 = 407,827.66 : x
  2. Step 2: Convert to fraction form
    576,258.10/863,687.31 = 407,827.66/x
  3. Step 3: Cross multiply
    576,258.10x = 863,687.31 × 407,827.66
  4. Step 4: Simplify right side
    576,258.10x = 352,235,572,539.84
  5. Step 5: Solve for x
    x = 352,235,572,539.84/576,258.10
  6. Step 6: Final answer
    x = 611,246.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.